\[y_i \backsim Normal(\mu_i, \sigma)\] \[\mu_i = \alpha + \beta x_i\] \[\sigma \backsim Uniform(0, 1)\] \[\beta \backsim Normal(0, 10)\] \[\alpha \backsim Normal(0, 10)\]

• Likelihood
• Linear model
• sigma prior
• beta prior
• alpha prior